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inna [77]
3 years ago
15

Jill buys two circular pizzas. How much greater, in square inches, is the area of the medium pizza than the small pizza? Round y

our answer to the nearest tenth.
Mathematics
1 answer:
lora16 [44]3 years ago
5 0

Answer:

Medium pizza is 62.83 square inches greater than smaller pizza.

Step-by-step explanation:

Given:

Diameter of smaller pizza = 8 inch

Diameter of medium pizza = 12 inch

We need to find how much greater in area is medium pizza than the small pizza.

Solution:

First we will find the are of both the pizza;

Now we know that;

Radius = \frac12 Diameter

Radius of Smaller pizza = \frac12\times8 =4 \ in.

Radius of Medium pizza= \frac12\times12 =6 \ in.

Now pizza is in circular shape so we will apply area of circle to find the area of the pizza.

Area of circle is π times square of the radius.

framing in equation form we get;

Area of Smaller Pizza = \pi \times 4^2= 16 \pi= 50.265\ in^2

Area of Medium Pizza = \pi \times 6^2= 36\pi = 113.097\ in^2

Now to find Difference we will subtract Area of Smaller Pizza from Area of Medium Pizza.

So we can say that;

Difference = 113.097-50.265 = 62.832\ in^2

Rounding to nearest hundred we get;

Difference = 62.83\ in^2

Hence Medium pizza is 62.83 square inches greater than smaller pizza.

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